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Elodia [21]
3 years ago
8

Which set contains only whole numbers divisible to 6?

Mathematics
1 answer:
melisa1 [442]3 years ago
7 0
Only <span>set Y = {6, 24, 36, 78, 84}, contains only whole numbers divisible by 6.

There were no options but this was the answer to this question on a quiz.

hope this helps!</span>
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If the following fractions were converted to decimals, which one would result in a repeating decimal?
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A rectangle with a length of L and a width of W has a diagonal of 10 inches. Express the perimeter P of the rectangle as a funct
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<h2>Answer:</h2>

The expression which represents the perimeter P of the rectangle as a function of L is:

          Perimeter=2(L+\sqrt{100-L^2})

<h2>Step-by-step explanation:</h2>

The length and width of a rectangle are denoted by L and W respectively.

Also the diagonal of a rectangle is: 10 inches.

We know that the diagonal of a rectangle in terms of L and W are given by:

10=\sqrt{L^2+W^2}

( Since, the diagonal of a rectangle act as a hypotenuse of the right angled triangle and we use the Pythagorean Theorem )

Hence, we have:

10^2=L^2+W^2\\\\i.e.\\\\W^2=100-L^2\\\\W=\pm \sqrt{100-L^2}

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Hence, we have:

W=\sqrt{100-L^2}

Now, we know that the Perimeter of a rectangle is given by:

Perimeter=2(L+W)

Here we have:

Perimeter=2(L+\sqrt{100-L^2})

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Step-by-step explanation:

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Note that, the power of 10 is positive when decimals are shifted to the back and negative when shifted to the front(in this case).

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